So you are also arguing that Jews and Christians don't share the same God. I think my point is the better one. Not whether its the same God, but whether the Muslims are actually honoring Him, vice using His name for their own self-serving ends.
Jews and Christians have the same God, since we (Christians) have a Scripture the Jewish Holy Books. What is clear is that the Muslims do not worship the same (Trinitarian) God of the Christians, as Pres. Bush intimated.